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Finding the Fourth Proportional to 307.13, 424.07 and 228.53

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Solution

The fourth proportional to 307.13, 424.07 and 228.53 is: 315.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.13 : 424.07 = 228.53 : x
  2. Step 2: Convert to fraction form
    307.13/424.07 = 228.53/x
  3. Step 3: Cross multiply
    307.13x = 424.07 × 228.53
  4. Step 4: Simplify right side
    307.13x = 96,912.72
  5. Step 5: Solve for x
    x = 96,912.72/307.13
  6. Step 6: Final answer
    x = 315.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.